We look at the division of 804559 by 15 
Our goal is to divide 804559 by 15.

Let's proceed to step 1:
If we divide 8 by 15, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 15

On to step 2:
15 goes into 80 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 75 from 80 leaves us with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 15

Step 3:
15 goes into 54 3 times with a remainder of 9.
The next digit of our result is 3. 
Result so far: 53.0
Subtracting 45 from 54 leaves us with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 15

Going ahead to step 4:
When dividing 95 by 15, we get 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 536.0
The remainder is 5 after subtracting 90 from 95.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 15

Step 5:
55 divided by 15 is 3 with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 5363.0
If we subtract 45 from 55, we get 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 15

Step 6:
109 divided by 15 is 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 53637.0
If we take 105 away from 109, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
The number 15 fits into 40 2 times, leaving a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 53637.2
If we take 30 away from 40, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 53637.26
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 53637.266
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 53637.266, and the remainder is 0.001.